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1341413213100 = 223524909910853
BaseRepresentation
bin10011100001010010011…
…101010100001110101100
311202020102101121122122120
4103201102131110032230
5133434203240304400
62504123044312540
7165625320116112
oct23412235241654
94666371548576
101341413213100
11477987874144
12197b846a2750
1399657ba366c
1448cd3707ab2
1524d5ea11ca0
hex138527543ac

1341413213100 has 72 divisors (see below), whose sum is σ = 3881950445520. Its totient is φ = 357636929280.

The previous prime is 1341413213093. The next prime is 1341413213159. The reversal of 1341413213100 is 13123141431.

It is a happy number.

It is a super-3 number, since 3×13414132131003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017274 + ... + 1928126.

It is an arithmetic number, because the mean of its divisors is an integer number (53915978410).

Almost surely, 21341413213100 is an apocalyptic number.

1341413213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341413213100 is an abundant number, since it is smaller than the sum of its proper divisors (2540537232420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1341413213100 is a wasteful number, since it uses less digits than its factorization.

1341413213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915779 (or 915772 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1341413213100 its reverse (13123141431), we get a palindrome (1354536354531).

The spelling of 1341413213100 in words is "one trillion, three hundred forty-one billion, four hundred thirteen million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4909 9818 14727 19636 24545 29454 49090 58908 73635 98180 122725 147270 245450 294540 368175 490900 736350 910853 1472700 1821706 2732559 3643412 4554265 5465118 9108530 10930236 13662795 18217060 22771325 27325590 45542650 54651180 68313975 91085300 136627950 273255900 4471377377 8942754754 13414132131 17885509508 22356886885 26828264262 44713773770 53656528524 67070660655 89427547540 111784434425 134141321310 223568868850 268282642620 335353303275 447137737700 670706606550 1341413213100